Global gradient estimates for non-quadratic vector-valued parabolic quasi-minimizers

We establish local and global higher integrability estimates for the gradient of vector-valued parabolic quasi-minimizers of integral functionals with polynomial pp-growth, p>2nn+2, on a parabolic domain ΩTΩT in Rn+1Rn+1, n≥2n≥2 and under a weak regularity assumption on the parabolic boundary of ΩTΩT.